TSTP Solution File: NLP251+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : NLP251+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 09:35:55 EDT 2023

% Result   : Theorem 0.21s 0.62s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  101 (  18 unt;  46 typ;   0 def)
%            Number of atoms       :  743 (   0 equ)
%            Maximal formula atoms :  108 (  13 avg)
%            Number of connectives : 1237 ( 549   ~; 527   |; 153   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   84 (  14 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   91 (  38   >;  53   *;   0   +;   0  <<)
%            Number of predicates  :   37 (  36 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-14 aty)
%            Number of variables   :  291 (   0 sgn;  39   !;  50   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    jules_forename: ( $i * $i ) > $o ).

tff(decl_23,type,
    forename: ( $i * $i ) > $o ).

tff(decl_24,type,
    vincent_forename: ( $i * $i ) > $o ).

tff(decl_25,type,
    relname: ( $i * $i ) > $o ).

tff(decl_26,type,
    relation: ( $i * $i ) > $o ).

tff(decl_27,type,
    man: ( $i * $i ) > $o ).

tff(decl_28,type,
    male: ( $i * $i ) > $o ).

tff(decl_29,type,
    human_person: ( $i * $i ) > $o ).

tff(decl_30,type,
    animate: ( $i * $i ) > $o ).

tff(decl_31,type,
    human: ( $i * $i ) > $o ).

tff(decl_32,type,
    organism: ( $i * $i ) > $o ).

tff(decl_33,type,
    living: ( $i * $i ) > $o ).

tff(decl_34,type,
    impartial: ( $i * $i ) > $o ).

tff(decl_35,type,
    entity: ( $i * $i ) > $o ).

tff(decl_36,type,
    existent: ( $i * $i ) > $o ).

tff(decl_37,type,
    specific: ( $i * $i ) > $o ).

tff(decl_38,type,
    thing: ( $i * $i ) > $o ).

tff(decl_39,type,
    state: ( $i * $i ) > $o ).

tff(decl_40,type,
    event: ( $i * $i ) > $o ).

tff(decl_41,type,
    eventuality: ( $i * $i ) > $o ).

tff(decl_42,type,
    abstraction: ( $i * $i ) > $o ).

tff(decl_43,type,
    unisex: ( $i * $i ) > $o ).

tff(decl_44,type,
    general: ( $i * $i ) > $o ).

tff(decl_45,type,
    nonhuman: ( $i * $i ) > $o ).

tff(decl_46,type,
    proposition: ( $i * $i ) > $o ).

tff(decl_47,type,
    nonexistent: ( $i * $i ) > $o ).

tff(decl_48,type,
    singleton: ( $i * $i ) > $o ).

tff(decl_49,type,
    smoke: ( $i * $i ) > $o ).

tff(decl_50,type,
    accessible_world: ( $i * $i ) > $o ).

tff(decl_51,type,
    of: ( $i * $i * $i ) > $o ).

tff(decl_52,type,
    be: ( $i * $i * $i * $i ) > $o ).

tff(decl_53,type,
    theme: ( $i * $i * $i ) > $o ).

tff(decl_54,type,
    think_believe_consider: ( $i * $i ) > $o ).

tff(decl_55,type,
    agent: ( $i * $i * $i ) > $o ).

tff(decl_56,type,
    present: ( $i * $i ) > $o ).

tff(decl_57,type,
    actual_world: $i > $o ).

tff(decl_58,type,
    esk1_0: $i ).

tff(decl_59,type,
    esk2_0: $i ).

tff(decl_60,type,
    esk3_0: $i ).

tff(decl_61,type,
    esk4_0: $i ).

tff(decl_62,type,
    esk5_0: $i ).

tff(decl_63,type,
    esk6_0: $i ).

tff(decl_64,type,
    esk7_0: $i ).

tff(decl_65,type,
    esk8_0: $i ).

tff(decl_66,type,
    esk9_1: $i > $i ).

tff(decl_67,type,
    esk10_14: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

fof(co1,conjecture,
    ~ ( ? [X1] :
          ( actual_world(X1)
          & ? [X2,X3,X4,X5,X6,X7,X8] :
              ( of(X1,X3,X2)
              & man(X1,X2)
              & vincent_forename(X1,X3)
              & forename(X1,X3)
              & proposition(X1,X5)
              & agent(X1,X4,X2)
              & theme(X1,X4,X5)
              & event(X1,X4)
              & present(X1,X4)
              & think_believe_consider(X1,X4)
              & accessible_world(X1,X5)
              & ! [X9] :
                  ( man(X5,X9)
                 => ? [X10] :
                      ( event(X5,X10)
                      & agent(X5,X10,X9)
                      & present(X5,X10)
                      & smoke(X5,X10) ) )
              & of(X1,X6,X7)
              & man(X1,X7)
              & jules_forename(X1,X6)
              & forename(X1,X6)
              & man(X1,X7)
              & state(X1,X8)
              & be(X1,X8,X7,X7) ) )
      & ~ ? [X11] :
            ( actual_world(X11)
            & ? [X12,X13,X14,X15,X2,X3,X4,X5,X6,X7,X8,X16,X17] :
                ( of(X11,X13,X12)
                & man(X11,X12)
                & vincent_forename(X11,X13)
                & forename(X11,X13)
                & of(X11,X15,X14)
                & man(X11,X14)
                & jules_forename(X11,X15)
                & forename(X11,X15)
                & of(X11,X3,X2)
                & man(X11,X2)
                & vincent_forename(X11,X3)
                & forename(X11,X3)
                & proposition(X11,X5)
                & agent(X11,X4,X2)
                & theme(X11,X4,X5)
                & event(X11,X4)
                & present(X11,X4)
                & think_believe_consider(X11,X4)
                & accessible_world(X11,X5)
                & ! [X9] :
                    ( man(X5,X9)
                   => ? [X10] :
                        ( event(X5,X10)
                        & agent(X5,X10,X9)
                        & present(X5,X10)
                        & smoke(X5,X10) ) )
                & of(X11,X6,X7)
                & man(X11,X7)
                & jules_forename(X11,X6)
                & forename(X11,X6)
                & man(X11,X7)
                & state(X11,X8)
                & be(X11,X8,X7,X7)
                & proposition(X11,X17)
                & agent(X11,X16,X12)
                & theme(X11,X16,X17)
                & event(X11,X16)
                & present(X11,X16)
                & think_believe_consider(X11,X16)
                & accessible_world(X11,X17)
                & ? [X18] :
                    ( event(X17,X18)
                    & agent(X17,X18,X14)
                    & present(X17,X18)
                    & smoke(X17,X18) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax2,axiom,
    ! [X1,X2] :
      ( vincent_forename(X1,X2)
     => forename(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(ax1,axiom,
    ! [X1,X2] :
      ( jules_forename(X1,X2)
     => forename(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(ax30,axiom,
    ! [X1,X2] :
      ( smoke(X1,X2)
     => event(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(ax49,axiom,
    ! [X1,X2,X3] :
      ( ( accessible_world(X2,X3)
        & man(X2,X1) )
     => man(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(c_0_5,negated_conjecture,
    ~ ~ ( ? [X1] :
            ( actual_world(X1)
            & ? [X2,X3,X4,X5,X6,X7,X8] :
                ( of(X1,X3,X2)
                & man(X1,X2)
                & vincent_forename(X1,X3)
                & forename(X1,X3)
                & proposition(X1,X5)
                & agent(X1,X4,X2)
                & theme(X1,X4,X5)
                & event(X1,X4)
                & present(X1,X4)
                & think_believe_consider(X1,X4)
                & accessible_world(X1,X5)
                & ! [X9] :
                    ( man(X5,X9)
                   => ? [X10] :
                        ( event(X5,X10)
                        & agent(X5,X10,X9)
                        & present(X5,X10)
                        & smoke(X5,X10) ) )
                & of(X1,X6,X7)
                & man(X1,X7)
                & jules_forename(X1,X6)
                & forename(X1,X6)
                & man(X1,X7)
                & state(X1,X8)
                & be(X1,X8,X7,X7) ) )
        & ~ ? [X11] :
              ( actual_world(X11)
              & ? [X12,X13,X14,X15,X2,X3,X4,X5,X6,X7,X8,X16,X17] :
                  ( of(X11,X13,X12)
                  & man(X11,X12)
                  & vincent_forename(X11,X13)
                  & forename(X11,X13)
                  & of(X11,X15,X14)
                  & man(X11,X14)
                  & jules_forename(X11,X15)
                  & forename(X11,X15)
                  & of(X11,X3,X2)
                  & man(X11,X2)
                  & vincent_forename(X11,X3)
                  & forename(X11,X3)
                  & proposition(X11,X5)
                  & agent(X11,X4,X2)
                  & theme(X11,X4,X5)
                  & event(X11,X4)
                  & present(X11,X4)
                  & think_believe_consider(X11,X4)
                  & accessible_world(X11,X5)
                  & ! [X9] :
                      ( man(X5,X9)
                     => ? [X10] :
                          ( event(X5,X10)
                          & agent(X5,X10,X9)
                          & present(X5,X10)
                          & smoke(X5,X10) ) )
                  & of(X11,X6,X7)
                  & man(X11,X7)
                  & jules_forename(X11,X6)
                  & forename(X11,X6)
                  & man(X11,X7)
                  & state(X11,X8)
                  & be(X11,X8,X7,X7)
                  & proposition(X11,X17)
                  & agent(X11,X16,X12)
                  & theme(X11,X16,X17)
                  & event(X11,X16)
                  & present(X11,X16)
                  & think_believe_consider(X11,X16)
                  & accessible_world(X11,X17)
                  & ? [X18] :
                      ( event(X17,X18)
                      & agent(X17,X18,X14)
                      & present(X17,X18)
                      & smoke(X17,X18) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_6,negated_conjecture,
    ! [X216,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X233,X234] :
      ( actual_world(esk1_0)
      & of(esk1_0,esk3_0,esk2_0)
      & man(esk1_0,esk2_0)
      & vincent_forename(esk1_0,esk3_0)
      & forename(esk1_0,esk3_0)
      & proposition(esk1_0,esk5_0)
      & agent(esk1_0,esk4_0,esk2_0)
      & theme(esk1_0,esk4_0,esk5_0)
      & event(esk1_0,esk4_0)
      & present(esk1_0,esk4_0)
      & think_believe_consider(esk1_0,esk4_0)
      & accessible_world(esk1_0,esk5_0)
      & ( event(esk5_0,esk9_1(X216))
        | ~ man(esk5_0,X216) )
      & ( agent(esk5_0,esk9_1(X216),X216)
        | ~ man(esk5_0,X216) )
      & ( present(esk5_0,esk9_1(X216))
        | ~ man(esk5_0,X216) )
      & ( smoke(esk5_0,esk9_1(X216))
        | ~ man(esk5_0,X216) )
      & of(esk1_0,esk6_0,esk7_0)
      & man(esk1_0,esk7_0)
      & jules_forename(esk1_0,esk6_0)
      & forename(esk1_0,esk6_0)
      & man(esk1_0,esk7_0)
      & state(esk1_0,esk8_0)
      & be(esk1_0,esk8_0,esk7_0,esk7_0)
      & ( man(X226,esk10_14(X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231))
        | ~ of(X218,X220,X219)
        | ~ man(X218,X219)
        | ~ vincent_forename(X218,X220)
        | ~ forename(X218,X220)
        | ~ of(X218,X222,X221)
        | ~ man(X218,X221)
        | ~ jules_forename(X218,X222)
        | ~ forename(X218,X222)
        | ~ of(X218,X224,X223)
        | ~ man(X218,X223)
        | ~ vincent_forename(X218,X224)
        | ~ forename(X218,X224)
        | ~ proposition(X218,X226)
        | ~ agent(X218,X225,X223)
        | ~ theme(X218,X225,X226)
        | ~ event(X218,X225)
        | ~ present(X218,X225)
        | ~ think_believe_consider(X218,X225)
        | ~ accessible_world(X218,X226)
        | ~ of(X218,X227,X228)
        | ~ man(X218,X228)
        | ~ jules_forename(X218,X227)
        | ~ forename(X218,X227)
        | ~ man(X218,X228)
        | ~ state(X218,X229)
        | ~ be(X218,X229,X228,X228)
        | ~ proposition(X218,X231)
        | ~ agent(X218,X230,X219)
        | ~ theme(X218,X230,X231)
        | ~ event(X218,X230)
        | ~ present(X218,X230)
        | ~ think_believe_consider(X218,X230)
        | ~ accessible_world(X218,X231)
        | ~ event(X231,X234)
        | ~ agent(X231,X234,X221)
        | ~ present(X231,X234)
        | ~ smoke(X231,X234)
        | ~ actual_world(X218) )
      & ( ~ event(X226,X233)
        | ~ agent(X226,X233,esk10_14(X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231))
        | ~ present(X226,X233)
        | ~ smoke(X226,X233)
        | ~ of(X218,X220,X219)
        | ~ man(X218,X219)
        | ~ vincent_forename(X218,X220)
        | ~ forename(X218,X220)
        | ~ of(X218,X222,X221)
        | ~ man(X218,X221)
        | ~ jules_forename(X218,X222)
        | ~ forename(X218,X222)
        | ~ of(X218,X224,X223)
        | ~ man(X218,X223)
        | ~ vincent_forename(X218,X224)
        | ~ forename(X218,X224)
        | ~ proposition(X218,X226)
        | ~ agent(X218,X225,X223)
        | ~ theme(X218,X225,X226)
        | ~ event(X218,X225)
        | ~ present(X218,X225)
        | ~ think_believe_consider(X218,X225)
        | ~ accessible_world(X218,X226)
        | ~ of(X218,X227,X228)
        | ~ man(X218,X228)
        | ~ jules_forename(X218,X227)
        | ~ forename(X218,X227)
        | ~ man(X218,X228)
        | ~ state(X218,X229)
        | ~ be(X218,X229,X228,X228)
        | ~ proposition(X218,X231)
        | ~ agent(X218,X230,X219)
        | ~ theme(X218,X230,X231)
        | ~ event(X218,X230)
        | ~ present(X218,X230)
        | ~ think_believe_consider(X218,X230)
        | ~ accessible_world(X218,X231)
        | ~ event(X231,X234)
        | ~ agent(X231,X234,X221)
        | ~ present(X231,X234)
        | ~ smoke(X231,X234)
        | ~ actual_world(X218) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ event(X1,X2)
    | ~ agent(X1,X2,esk10_14(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15))
    | ~ present(X1,X2)
    | ~ smoke(X1,X2)
    | ~ of(X3,X5,X4)
    | ~ man(X3,X4)
    | ~ vincent_forename(X3,X5)
    | ~ forename(X3,X5)
    | ~ of(X3,X7,X6)
    | ~ man(X3,X6)
    | ~ jules_forename(X3,X7)
    | ~ forename(X3,X7)
    | ~ of(X3,X9,X8)
    | ~ man(X3,X8)
    | ~ vincent_forename(X3,X9)
    | ~ forename(X3,X9)
    | ~ proposition(X3,X1)
    | ~ agent(X3,X10,X8)
    | ~ theme(X3,X10,X1)
    | ~ event(X3,X10)
    | ~ present(X3,X10)
    | ~ think_believe_consider(X3,X10)
    | ~ accessible_world(X3,X1)
    | ~ of(X3,X11,X12)
    | ~ man(X3,X12)
    | ~ jules_forename(X3,X11)
    | ~ forename(X3,X11)
    | ~ man(X3,X12)
    | ~ state(X3,X13)
    | ~ be(X3,X13,X12,X12)
    | ~ proposition(X3,X15)
    | ~ agent(X3,X14,X4)
    | ~ theme(X3,X14,X15)
    | ~ event(X3,X14)
    | ~ present(X3,X14)
    | ~ think_believe_consider(X3,X14)
    | ~ accessible_world(X3,X15)
    | ~ event(X15,X16)
    | ~ agent(X15,X16,X6)
    | ~ present(X15,X16)
    | ~ smoke(X15,X16)
    | ~ actual_world(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_8,plain,
    ! [X21,X22] :
      ( ~ vincent_forename(X21,X22)
      | forename(X21,X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])]) ).

fof(c_0_9,plain,
    ! [X19,X20] :
      ( ~ jules_forename(X19,X20)
      | forename(X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])]) ).

fof(c_0_10,plain,
    ! [X77,X78] :
      ( ~ smoke(X77,X78)
      | event(X77,X78) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).

cnf(c_0_11,negated_conjecture,
    ( man(X1,esk10_14(X2,X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
    | ~ of(X2,X4,X3)
    | ~ man(X2,X3)
    | ~ vincent_forename(X2,X4)
    | ~ forename(X2,X4)
    | ~ of(X2,X6,X5)
    | ~ man(X2,X5)
    | ~ jules_forename(X2,X6)
    | ~ forename(X2,X6)
    | ~ of(X2,X8,X7)
    | ~ man(X2,X7)
    | ~ vincent_forename(X2,X8)
    | ~ forename(X2,X8)
    | ~ proposition(X2,X1)
    | ~ agent(X2,X9,X7)
    | ~ theme(X2,X9,X1)
    | ~ event(X2,X9)
    | ~ present(X2,X9)
    | ~ think_believe_consider(X2,X9)
    | ~ accessible_world(X2,X1)
    | ~ of(X2,X10,X11)
    | ~ man(X2,X11)
    | ~ jules_forename(X2,X10)
    | ~ forename(X2,X10)
    | ~ man(X2,X11)
    | ~ state(X2,X12)
    | ~ be(X2,X12,X11,X11)
    | ~ proposition(X2,X14)
    | ~ agent(X2,X13,X3)
    | ~ theme(X2,X13,X14)
    | ~ event(X2,X13)
    | ~ present(X2,X13)
    | ~ think_believe_consider(X2,X13)
    | ~ accessible_world(X2,X14)
    | ~ event(X14,X15)
    | ~ agent(X14,X15,X5)
    | ~ present(X14,X15)
    | ~ smoke(X14,X15)
    | ~ actual_world(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ actual_world(X3)
    | ~ jules_forename(X3,X11)
    | ~ jules_forename(X3,X7)
    | ~ forename(X3,X11)
    | ~ forename(X3,X9)
    | ~ forename(X3,X7)
    | ~ forename(X3,X5)
    | ~ vincent_forename(X3,X9)
    | ~ vincent_forename(X3,X5)
    | ~ man(X3,X12)
    | ~ man(X3,X8)
    | ~ man(X3,X6)
    | ~ man(X3,X4)
    | ~ state(X3,X13)
    | ~ event(X15,X16)
    | ~ event(X3,X14)
    | ~ event(X3,X10)
    | ~ event(X1,X2)
    | ~ proposition(X3,X15)
    | ~ proposition(X3,X1)
    | ~ smoke(X15,X16)
    | ~ smoke(X1,X2)
    | ~ accessible_world(X3,X15)
    | ~ accessible_world(X3,X1)
    | ~ think_believe_consider(X3,X14)
    | ~ think_believe_consider(X3,X10)
    | ~ present(X15,X16)
    | ~ present(X3,X14)
    | ~ present(X3,X10)
    | ~ present(X1,X2)
    | ~ of(X3,X11,X12)
    | ~ of(X3,X9,X8)
    | ~ of(X3,X7,X6)
    | ~ of(X3,X5,X4)
    | ~ theme(X3,X14,X15)
    | ~ theme(X3,X10,X1)
    | ~ agent(X15,X16,X6)
    | ~ agent(X3,X14,X4)
    | ~ agent(X3,X10,X8)
    | ~ be(X3,X13,X12,X12)
    | ~ agent(X1,X2,esk10_14(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15)) ),
    inference(cn,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    ( forename(X1,X2)
    | ~ vincent_forename(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( forename(X1,X2)
    | ~ jules_forename(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( event(X1,X2)
    | ~ smoke(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( man(X1,esk10_14(X2,X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
    | ~ actual_world(X2)
    | ~ jules_forename(X2,X10)
    | ~ jules_forename(X2,X6)
    | ~ forename(X2,X10)
    | ~ forename(X2,X8)
    | ~ forename(X2,X6)
    | ~ forename(X2,X4)
    | ~ vincent_forename(X2,X8)
    | ~ vincent_forename(X2,X4)
    | ~ man(X2,X11)
    | ~ man(X2,X7)
    | ~ man(X2,X5)
    | ~ man(X2,X3)
    | ~ state(X2,X12)
    | ~ event(X14,X15)
    | ~ event(X2,X13)
    | ~ event(X2,X9)
    | ~ proposition(X2,X14)
    | ~ proposition(X2,X1)
    | ~ smoke(X14,X15)
    | ~ accessible_world(X2,X14)
    | ~ accessible_world(X2,X1)
    | ~ think_believe_consider(X2,X13)
    | ~ think_believe_consider(X2,X9)
    | ~ present(X14,X15)
    | ~ present(X2,X13)
    | ~ present(X2,X9)
    | ~ of(X2,X10,X11)
    | ~ of(X2,X8,X7)
    | ~ of(X2,X6,X5)
    | ~ of(X2,X4,X3)
    | ~ theme(X2,X13,X14)
    | ~ theme(X2,X9,X1)
    | ~ agent(X14,X15,X5)
    | ~ agent(X2,X13,X3)
    | ~ agent(X2,X9,X7)
    | ~ be(X2,X12,X11,X11) ),
    inference(cn,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ actual_world(X1)
    | ~ present(X2,X3)
    | ~ present(X1,X4)
    | ~ present(X1,X5)
    | ~ present(X6,X7)
    | ~ agent(X6,X7,esk10_14(X1,X8,X9,X10,X11,X12,X13,X5,X6,X14,X15,X16,X4,X2))
    | ~ agent(X2,X3,X10)
    | ~ agent(X1,X4,X8)
    | ~ agent(X1,X5,X12)
    | ~ think_believe_consider(X1,X4)
    | ~ think_believe_consider(X1,X5)
    | ~ theme(X1,X4,X2)
    | ~ theme(X1,X5,X6)
    | ~ be(X1,X16,X15,X15)
    | ~ of(X1,X14,X15)
    | ~ of(X1,X13,X12)
    | ~ of(X1,X11,X10)
    | ~ of(X1,X9,X8)
    | ~ accessible_world(X1,X2)
    | ~ accessible_world(X1,X6)
    | ~ smoke(X2,X3)
    | ~ smoke(X6,X7)
    | ~ proposition(X1,X2)
    | ~ proposition(X1,X6)
    | ~ event(X1,X4)
    | ~ event(X1,X5)
    | ~ state(X1,X16)
    | ~ man(X1,X15)
    | ~ man(X1,X12)
    | ~ man(X1,X10)
    | ~ man(X1,X8)
    | ~ vincent_forename(X1,X13)
    | ~ vincent_forename(X1,X9)
    | ~ jules_forename(X1,X14)
    | ~ jules_forename(X1,X11) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_13]),c_0_14]),c_0_15]),c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ( agent(esk5_0,esk9_1(X1),X1)
    | ~ man(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,negated_conjecture,
    ( man(X1,esk10_14(X2,X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
    | ~ actual_world(X2)
    | ~ present(X14,X15)
    | ~ present(X2,X13)
    | ~ present(X2,X9)
    | ~ agent(X14,X15,X5)
    | ~ agent(X2,X13,X3)
    | ~ agent(X2,X9,X7)
    | ~ think_believe_consider(X2,X13)
    | ~ think_believe_consider(X2,X9)
    | ~ theme(X2,X13,X14)
    | ~ theme(X2,X9,X1)
    | ~ be(X2,X12,X11,X11)
    | ~ of(X2,X10,X11)
    | ~ of(X2,X8,X7)
    | ~ of(X2,X6,X5)
    | ~ of(X2,X4,X3)
    | ~ accessible_world(X2,X14)
    | ~ accessible_world(X2,X1)
    | ~ smoke(X14,X15)
    | ~ proposition(X2,X14)
    | ~ proposition(X2,X1)
    | ~ event(X2,X13)
    | ~ event(X2,X9)
    | ~ state(X2,X12)
    | ~ man(X2,X11)
    | ~ man(X2,X7)
    | ~ man(X2,X5)
    | ~ man(X2,X3)
    | ~ vincent_forename(X2,X8)
    | ~ vincent_forename(X2,X4)
    | ~ jules_forename(X2,X10)
    | ~ jules_forename(X2,X6) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_16,c_0_13]),c_0_14]),c_0_13]),c_0_14]),c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ actual_world(X1)
    | ~ present(esk5_0,esk9_1(esk10_14(X1,X2,X3,X4,X5,X6,X7,X8,esk5_0,X9,X10,X11,X12,X13)))
    | ~ present(X13,X14)
    | ~ present(X1,X12)
    | ~ present(X1,X8)
    | ~ agent(X13,X14,X4)
    | ~ agent(X1,X12,X2)
    | ~ agent(X1,X8,X6)
    | ~ think_believe_consider(X1,X12)
    | ~ think_believe_consider(X1,X8)
    | ~ theme(X1,X8,esk5_0)
    | ~ theme(X1,X12,X13)
    | ~ be(X1,X11,X10,X10)
    | ~ of(X1,X9,X10)
    | ~ of(X1,X7,X6)
    | ~ of(X1,X5,X4)
    | ~ of(X1,X3,X2)
    | ~ accessible_world(X1,esk5_0)
    | ~ accessible_world(X1,X13)
    | ~ smoke(esk5_0,esk9_1(esk10_14(X1,X2,X3,X4,X5,X6,X7,X8,esk5_0,X9,X10,X11,X12,X13)))
    | ~ smoke(X13,X14)
    | ~ proposition(X1,esk5_0)
    | ~ proposition(X1,X13)
    | ~ event(X1,X12)
    | ~ event(X1,X8)
    | ~ state(X1,X11)
    | ~ man(X1,X10)
    | ~ man(X1,X6)
    | ~ man(X1,X4)
    | ~ man(X1,X2)
    | ~ vincent_forename(X1,X7)
    | ~ vincent_forename(X1,X3)
    | ~ jules_forename(X1,X9)
    | ~ jules_forename(X1,X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

cnf(c_0_21,negated_conjecture,
    ( smoke(esk5_0,esk9_1(X1))
    | ~ man(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ actual_world(X1)
    | ~ present(esk5_0,esk9_1(esk10_14(X1,X2,X3,X4,X5,X6,X7,X8,esk5_0,X9,X10,X11,X12,X13)))
    | ~ present(X13,X14)
    | ~ present(X1,X12)
    | ~ present(X1,X8)
    | ~ agent(X13,X14,X4)
    | ~ agent(X1,X12,X2)
    | ~ agent(X1,X8,X6)
    | ~ think_believe_consider(X1,X12)
    | ~ think_believe_consider(X1,X8)
    | ~ theme(X1,X8,esk5_0)
    | ~ theme(X1,X12,X13)
    | ~ be(X1,X11,X10,X10)
    | ~ of(X1,X9,X10)
    | ~ of(X1,X7,X6)
    | ~ of(X1,X5,X4)
    | ~ of(X1,X3,X2)
    | ~ accessible_world(X1,esk5_0)
    | ~ accessible_world(X1,X13)
    | ~ smoke(X13,X14)
    | ~ proposition(X1,esk5_0)
    | ~ proposition(X1,X13)
    | ~ event(X1,X12)
    | ~ event(X1,X8)
    | ~ state(X1,X11)
    | ~ man(X1,X10)
    | ~ man(X1,X6)
    | ~ man(X1,X4)
    | ~ man(X1,X2)
    | ~ vincent_forename(X1,X7)
    | ~ vincent_forename(X1,X3)
    | ~ jules_forename(X1,X9)
    | ~ jules_forename(X1,X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ( present(esk5_0,esk9_1(X1))
    | ~ man(esk5_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ actual_world(X1)
    | ~ present(X2,X3)
    | ~ present(X1,X4)
    | ~ present(X1,X5)
    | ~ agent(X2,X3,X6)
    | ~ agent(X1,X4,X7)
    | ~ agent(X1,X5,X8)
    | ~ think_believe_consider(X1,X4)
    | ~ think_believe_consider(X1,X5)
    | ~ theme(X1,X5,esk5_0)
    | ~ theme(X1,X4,X2)
    | ~ be(X1,X9,X10,X10)
    | ~ of(X1,X11,X10)
    | ~ of(X1,X12,X8)
    | ~ of(X1,X13,X6)
    | ~ of(X1,X14,X7)
    | ~ accessible_world(X1,esk5_0)
    | ~ accessible_world(X1,X2)
    | ~ smoke(X2,X3)
    | ~ proposition(X1,esk5_0)
    | ~ proposition(X1,X2)
    | ~ event(X1,X4)
    | ~ event(X1,X5)
    | ~ state(X1,X9)
    | ~ man(X1,X10)
    | ~ man(X1,X8)
    | ~ man(X1,X6)
    | ~ man(X1,X7)
    | ~ vincent_forename(X1,X12)
    | ~ vincent_forename(X1,X14)
    | ~ jules_forename(X1,X11)
    | ~ jules_forename(X1,X13) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19]) ).

cnf(c_0_25,negated_conjecture,
    theme(esk1_0,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_26,negated_conjecture,
    actual_world(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_27,negated_conjecture,
    present(esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_28,negated_conjecture,
    think_believe_consider(esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_29,negated_conjecture,
    accessible_world(esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_30,negated_conjecture,
    proposition(esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_31,negated_conjecture,
    event(esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ present(esk1_0,X1)
    | ~ present(X2,X3)
    | ~ agent(esk1_0,esk4_0,X4)
    | ~ agent(esk1_0,X1,X5)
    | ~ agent(X2,X3,X6)
    | ~ think_believe_consider(esk1_0,X1)
    | ~ theme(esk1_0,X1,X2)
    | ~ be(esk1_0,X7,X8,X8)
    | ~ of(esk1_0,X9,X8)
    | ~ of(esk1_0,X10,X4)
    | ~ of(esk1_0,X11,X6)
    | ~ of(esk1_0,X12,X5)
    | ~ accessible_world(esk1_0,X2)
    | ~ smoke(X2,X3)
    | ~ proposition(esk1_0,X2)
    | ~ event(esk1_0,X1)
    | ~ state(esk1_0,X7)
    | ~ man(esk1_0,X8)
    | ~ man(esk1_0,X4)
    | ~ man(esk1_0,X6)
    | ~ man(esk1_0,X5)
    | ~ vincent_forename(esk1_0,X10)
    | ~ vincent_forename(esk1_0,X12)
    | ~ jules_forename(esk1_0,X9)
    | ~ jules_forename(esk1_0,X11) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).

cnf(c_0_33,negated_conjecture,
    agent(esk1_0,esk4_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_34,negated_conjecture,
    man(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ present(esk1_0,X1)
    | ~ present(X2,X3)
    | ~ agent(esk1_0,X1,X4)
    | ~ agent(X2,X3,X5)
    | ~ think_believe_consider(esk1_0,X1)
    | ~ theme(esk1_0,X1,X2)
    | ~ be(esk1_0,X6,X7,X7)
    | ~ of(esk1_0,X8,esk2_0)
    | ~ of(esk1_0,X9,X7)
    | ~ of(esk1_0,X10,X5)
    | ~ of(esk1_0,X11,X4)
    | ~ accessible_world(esk1_0,X2)
    | ~ smoke(X2,X3)
    | ~ proposition(esk1_0,X2)
    | ~ event(esk1_0,X1)
    | ~ state(esk1_0,X6)
    | ~ man(esk1_0,X7)
    | ~ man(esk1_0,X5)
    | ~ man(esk1_0,X4)
    | ~ vincent_forename(esk1_0,X8)
    | ~ vincent_forename(esk1_0,X11)
    | ~ jules_forename(esk1_0,X9)
    | ~ jules_forename(esk1_0,X10) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_36,negated_conjecture,
    be(esk1_0,esk8_0,esk7_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_37,negated_conjecture,
    state(esk1_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_38,negated_conjecture,
    man(esk1_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ present(esk1_0,X1)
    | ~ present(X2,X3)
    | ~ agent(esk1_0,X1,X4)
    | ~ agent(X2,X3,X5)
    | ~ think_believe_consider(esk1_0,X1)
    | ~ theme(esk1_0,X1,X2)
    | ~ of(esk1_0,X6,esk2_0)
    | ~ of(esk1_0,X7,esk7_0)
    | ~ of(esk1_0,X8,X5)
    | ~ of(esk1_0,X9,X4)
    | ~ accessible_world(esk1_0,X2)
    | ~ smoke(X2,X3)
    | ~ proposition(esk1_0,X2)
    | ~ event(esk1_0,X1)
    | ~ man(esk1_0,X5)
    | ~ man(esk1_0,X4)
    | ~ vincent_forename(esk1_0,X6)
    | ~ vincent_forename(esk1_0,X9)
    | ~ jules_forename(esk1_0,X7)
    | ~ jules_forename(esk1_0,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).

cnf(c_0_40,negated_conjecture,
    ( ~ present(X1,X2)
    | ~ agent(X1,X2,X3)
    | ~ theme(esk1_0,esk4_0,X1)
    | ~ of(esk1_0,X4,esk2_0)
    | ~ of(esk1_0,X5,esk7_0)
    | ~ of(esk1_0,X6,esk2_0)
    | ~ of(esk1_0,X7,X3)
    | ~ accessible_world(esk1_0,X1)
    | ~ smoke(X1,X2)
    | ~ proposition(esk1_0,X1)
    | ~ man(esk1_0,X3)
    | ~ vincent_forename(esk1_0,X4)
    | ~ vincent_forename(esk1_0,X6)
    | ~ jules_forename(esk1_0,X5)
    | ~ jules_forename(esk1_0,X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_27]),c_0_28]),c_0_31]),c_0_34])]) ).

cnf(c_0_41,negated_conjecture,
    of(esk1_0,esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_42,negated_conjecture,
    jules_forename(esk1_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ present(X1,X2)
    | ~ agent(X1,X2,esk7_0)
    | ~ theme(esk1_0,esk4_0,X1)
    | ~ of(esk1_0,X3,esk2_0)
    | ~ of(esk1_0,X4,esk7_0)
    | ~ of(esk1_0,X5,esk2_0)
    | ~ accessible_world(esk1_0,X1)
    | ~ smoke(X1,X2)
    | ~ proposition(esk1_0,X1)
    | ~ vincent_forename(esk1_0,X3)
    | ~ vincent_forename(esk1_0,X5)
    | ~ jules_forename(esk1_0,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_38]),c_0_42])]) ).

cnf(c_0_44,negated_conjecture,
    vincent_forename(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_45,negated_conjecture,
    of(esk1_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ present(X1,X2)
    | ~ agent(X1,X2,esk7_0)
    | ~ theme(esk1_0,esk4_0,X1)
    | ~ of(esk1_0,X3,esk7_0)
    | ~ of(esk1_0,X4,esk2_0)
    | ~ accessible_world(esk1_0,X1)
    | ~ smoke(X1,X2)
    | ~ proposition(esk1_0,X1)
    | ~ vincent_forename(esk1_0,X4)
    | ~ jules_forename(esk1_0,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ present(X1,X2)
    | ~ agent(X1,X2,esk7_0)
    | ~ theme(esk1_0,esk4_0,X1)
    | ~ of(esk1_0,X3,esk7_0)
    | ~ accessible_world(esk1_0,X1)
    | ~ smoke(X1,X2)
    | ~ proposition(esk1_0,X1)
    | ~ jules_forename(esk1_0,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_44]),c_0_45])]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ present(X1,X2)
    | ~ agent(X1,X2,esk7_0)
    | ~ theme(esk1_0,esk4_0,X1)
    | ~ accessible_world(esk1_0,X1)
    | ~ smoke(X1,X2)
    | ~ proposition(esk1_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_42]),c_0_41])]) ).

fof(c_0_49,plain,
    ! [X130,X131,X132] :
      ( ~ accessible_world(X131,X132)
      | ~ man(X131,X130)
      | man(X132,X130) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ agent(esk5_0,esk9_1(X1),esk7_0)
    | ~ man(esk5_0,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_21]),c_0_25]),c_0_29]),c_0_30])]),c_0_23]) ).

cnf(c_0_51,plain,
    ( man(X2,X3)
    | ~ accessible_world(X1,X2)
    | ~ man(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_52,negated_conjecture,
    ~ man(esk5_0,esk7_0),
    inference(spm,[status(thm)],[c_0_50,c_0_18]) ).

cnf(c_0_53,negated_conjecture,
    ( man(esk5_0,X1)
    | ~ man(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_29]) ).

cnf(c_0_54,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : NLP251+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.17/0.35  % Computer : n016.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36  % CPULimit   : 300
% 0.17/0.36  % WCLimit    : 300
% 0.17/0.36  % DateTime   : Thu Aug 24 11:14:38 EDT 2023
% 0.17/0.36  % CPUTime  : 
% 0.21/0.56  start to proof: theBenchmark
% 0.21/0.62  % Version  : CSE_E---1.5
% 0.21/0.62  % Problem  : theBenchmark.p
% 0.21/0.62  % Proof found
% 0.21/0.62  % SZS status Theorem for theBenchmark.p
% 0.21/0.62  % SZS output start Proof
% See solution above
% 0.21/0.63  % Total time : 0.051000 s
% 0.21/0.63  % SZS output end Proof
% 0.21/0.63  % Total time : 0.055000 s
%------------------------------------------------------------------------------